This article is cited in 35 papers

On the Eigenvalues of Finitely Perturbed Laplace Operators in Infinite Cylindrical Domains

V. V. Grushin

Moscow State Institute of Electronics and Mathematics

Abstract: In this paper, sufficient conditions for the existence of eigenvalues of a finitely perturbed Laplace operator in an infinite cylindrical domain and their asymptotics in the small parameter are given. Similar questions for tubes, i.e., deformed cylinders, are also considered.

UDC: 517.958 517.95

Received: 26.05.2003

DOI: 10.4213/mzm40

 English version: Mathematical Notes, 2004, 75:3, 331–340

Bibliographic databases:

• 
• 
• 
•